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Contact [7]
3 years ago
12

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x+4y-8

Mathematics
1 answer:
hjlf3 years ago
4 0

Answer:

y = 4x - 5

Step-by-step explanation:

rewrite the equation

x + 4y - 8 = 0 \\ 4y =  - x + 8 \\ y =  -  \frac{1}{4} x + 2

perpendicular slope is a negative reciprocal. we will use the negative reciprocal to find the y-intercept

3 = 4(2) + b \\ 3 = 8 + b \\ b =  - 5

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Factor the following trinomial completely 3x^2+12x+12
Dmitry_Shevchenko [17]
Factor the following:
3 x^2 + 12 x + 12
Factor 3 out of 3 x^2 + 12 x + 12:
3 (x^2 + 4 x + 4)
The factors of 4 that sum to 4 are 2 and 2. So, x^2 + 4 x + 4 = (x + 2) (x + 2):
3 (x + 2) (x + 2)
(x + 2) (x + 2) = (x + 2)^2:
Answer:  3 (x + 2)^2
8 0
4 years ago
An inlet pipe can fill an empty swimming pool in 5hours, and another inlet pipe can fill the pool in 4hours. How long will it ta
yan [13]

Answer:

It will take 2 hours, 13 minutes and 20 seconds for both pipes to fill the pool.

Step-by-step explanation:

Given that an inlet pipe can fill an empty swimming pool in 5hours, and another inlet pipe can fill the pool in 4hours, to determine how long it will take both pipes to fill the pool, the following calculation must be performed:

1/5 + 1/4 = X

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Therefore, it will take 2 hours, 13 minutes and 20 seconds for both pipes to fill the pool.

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3 years ago
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M=38 I hope it helps
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Determine which polynomial is a difference of two squares.. . y2 − 25. . y2 + 25. . y2 − 10. . y2 + 10
Oksana_A [137]
"y2 − 25" is the polynomial among the following choices given in the question that <span>is a difference of two squares. The correct option among all the options that are given in the question is the first option. The other choices are incorrect. I hope that this is the answer that has actually come to your great help.</span>
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3 years ago
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